Convergence of the the kinetic hydrostatic reconstruction scheme for the Saint Venant system with topography - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2019

Convergence of the the kinetic hydrostatic reconstruction scheme for the Saint Venant system with topography

Résumé

We prove the convergence of the hydrostatic reconstruction scheme with kinetic numerical flux for the Saint Venant system with Lipschitz continuous topography. We use a recently derived fully discrete sharp entropy inequality with dissipation, that enables us to establish an estimate in the inverse of the square root of the space increment ∆x of the L 2 norm of the gradient of approximate solutions. By Diperna's method we conclude the strong convergence towards bounded weak entropy solutions.
Fichier principal
Vignette du fichier
kin-hydrost_conv.pdf (285.46 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01515256 , version 1 (27-04-2017)
hal-01515256 , version 2 (06-09-2019)
hal-01515256 , version 3 (04-09-2020)

Identifiants

  • HAL Id : hal-01515256 , version 2

Citer

François Bouchut, Xavier Lhébrard. Convergence of the the kinetic hydrostatic reconstruction scheme for the Saint Venant system with topography. 2019. ⟨hal-01515256v2⟩
316 Consultations
262 Téléchargements

Partager

Gmail Facebook X LinkedIn More